首页|基于全局快速终端滑模的6-PSS并联运动模拟器轨迹跟踪控制研究

基于全局快速终端滑模的6-PSS并联运动模拟器轨迹跟踪控制研究

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针对6-PSS并联运动模拟器动力学模型中的不确定性和时变扰动,提出了一种基于全局快速终端滑模的鲁棒控制策略.首先,运用虚功原理建立了该机构的动力学模型(该动力学模型表明 6-PSS并联机构是一个具有非线性和强耦合特性的多变量系统),对动力学模型进行了离线处理,使其反映出机构真实动力学特性,并满足设备实时计算能力的要求;然后,基于简化后的动力学模型设计了一种全局快速终端滑模控制器(GFTSMC),设计李雅普诺夫(Lyapunov)函数对控制律进行了分析,证明了控制器的稳定性;最后,将控制策略应用于6-PSS并联运动模拟器轨迹跟踪控制,并将其与PD前馈控制及传统滑模控制(SMC)进行了对比实验.研究结果表明:GFTSMC相对于PD和SMC的平均误差分别下降了82.92%和18.88%,标准差分别下降了80.03%和41.73%,且能够起到抑制抖振的效果,是6-PSS并联运动模拟器的一种有效且实用的鲁棒控制方案.该研究结果可为6-PSS并联运动模拟器控制及工程应用提供理论依据.
Trajectory tracking control of 6-PSS parallel motion simulator based on global fast terminal sliding mode
In response to the uncertainties and time-varying disturbances in the dynamic model of the 6-PSS parallel motion simulator,a robust control strategy based on sliding mode variable structure was proposed.Firstly,the dynamic model of the mechanism was established using the principle of virtual work.The dynamic model indicated that the 6-PSS parallel mechanism was a multivariable system with nonlinear and strongly coupled characteristics.The dynamic model was processed offline to reflect the actual dynamic characteristics of the mechanism and meet the real-time computational requirements of the device.Then,based on the simplified dynamic model,a global fast terminal sliding mode controller(GFTSMC)was designed.The Lyapunov function was employed to analyze the control law,demonstrating the stability of the controller.Finally,the control strategy was applied to the trajectory tracking control of the 6-PSS parallel motion simulator and compared with PD feedforward control and traditional sliding mode control(SMC)through experimental comparison.The research results indicate that,comparing to PD and SMC,GFTSMC reduces the average error by 82.92%and 18.88%respectively,and the standard deviation by 80.03%and 41.73%respectively.Moreover,it is capable of suppressing oscillations,making it an effective and practical robust control scheme for the 6-PSS parallel motion simulator.The research results can provide a theoretical basis for the control and engineering application of the 6-PSS parallel motion simulator.

parallel mechanismdynamic modelingvirtual work principlesliding mode controlLyapunov functionglobal fast terminal sliding mode controller(GFTSMC)

沈书宇、张海峰、叶伟

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浙江理工大学 机械工程学院,浙江 杭州 310018

并联机构 动力学建模 虚功原理 滑模控制 李雅普诺夫函数 全局快速终端滑模控制器

国家自然科学基金资助项目

51935010

2024

机电工程
浙江大学 浙江省机电集团有限公司

机电工程

CSTPCD北大核心
影响因子:0.785
ISSN:1001-4551
年,卷(期):2024.41(9)
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